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arXiv · 0808.0133

Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles

Artur Avila·Jairo Bochi·Jean-Christophe Yoccoz
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Abstract

We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. These form open subsets of (SL(2,R))^N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.

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Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz. 2008-08-01. Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles. https://doi.org/10.4171/cmh/212

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